Use the image and table to answer the question.

Question

An illustration shows a graph labeled Reading Rate. The horizontal axis is labeled hours and ranges from 0 to 6 in increments of 1. The vertical axis is labeled pages and ranges from 0 to 60 in increments of 10. An upward slanting line segment connects points plotted at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 10 right parenthesis, left parenthesis 2 comma 20 right parenthesis, left parenthesis 3 comma 30 right parenthesis, left parenthesis 4 comma 40 right parenthesis, and left parenthesis 5 comma 50 right parenthesis.

Reading Rate for Student 2
Hours Pages
2 30
3 45
4 60
The reading rate for Student 1 is displayed in the graph and the reading rate for Student 2 is displayed in the table. Which student reads faster and by how much?

(1 point)
Responses

Student 2 reads faster than Student 1 by 15 pages per hour.
Student 2 reads faster than Student 1 by 15 pages per hour.

Student 1 reads faster than Student 1 by 5 pages per hour.
Student 1 reads faster than Student 1 by 5 pages per hour.

Student 1 reads faster than Student 2 by 10 pages per hour.
Student 1 reads faster than Student 2 by 10 pages per hour.

Student 2 reads faster than Student 1 by 5 pages per hour.

Answer 1

To determine which student reads faster, we can calculate the reading rate (pages per hour) for both students.

Student 1:
From the graph, we can see that:

• At 2 hours, Student 1 reads 20 pages.
• At 3 hours, Student 1 reads 30 pages.
• At 4 hours, Student 1 reads 40 pages.
• At 5 hours, Student 1 reads 50 pages.

To find the reading rate, we can compute it between the various time intervals. For example, from 2 to 3 hours:

• Pages read = 30 - 20 = 10 pages
• Time = 3 - 2 = 1 hour
• Rate = 10 pages/hour

From 3 to 4 hours:

• Pages read = 40 - 30 = 10 pages
• Time = 4 - 3 = 1 hour
• Rate = 10 pages/hour

From 4 to 5 hours:

• Pages read = 50 - 40 = 10 pages
• Time = 5 - 4 = 1 hour
• Rate = 10 pages/hour

Overall, Student 1 reads consistently at a rate of 10 pages per hour.

Student 2: From the table provided:

• From 2 hours to 3 hours, Student 2 reads:

  • Pages = 45 - 30 = 15 pages
  • Time = 3 - 2 = 1 hour
  • Rate = 15 pages/hour

• From 3 hours to 4 hours:

  • Pages = 60 - 45 = 15 pages
  • Time = 4 - 3 = 1 hour
  • Rate = 15 pages/hour

Overall, Student 2 reads consistently at a rate of 15 pages per hour.

Now, comparing the two students:

• Student 1 reads at 10 pages/hour.
• Student 2 reads at 15 pages/hour.

Thus, Student 2 reads faster than Student 1 by:

• Difference = 15 pages/hour - 10 pages/hour = 5 pages/hour.

The correct response is: Student 2 reads faster than Student 1 by 5 pages per hour.